Question

Which situation represents a proportional relationship between the number of laps run by each student and their time.desmond's time (s) 146 292 584laps 2 4 8maria's time (s) 150 320 580laps 2 4 6?

Answer 1

Desmond's times are proportional. for every 2 laps he takes 146
146 / 2 = 73
292 / 4 = 73
584 / 8 = 73

Maria's time are not proportional
150 / 2 = 75
320 / 4 = 80
580 / 6 = 96.67

Answer 2

Answer:

Desmond's time

Step-by-step explanation:

Given,

Desmond's time (s)    146      292      584

laps                               2        4           8

Maria's time (s)          150      320      580

laps                               2         4       6

By the first table,

$\frac{146}{2}=\frac{292}{2}=\frac{584}{8}=73$

Thus, the situation of Desmond shows the proportional relationship between time and number of laps,

By the second table,

$\frac{150}{2}=30$

$\frac{320}{4}=8$

$\frac{580}{6}=96.67$

$\implies \frac{150}{2}\neq \frac{320}{4}\neq \frac{580}{6}$

Thus, the situation of Maria does not show the proportional relationship between time and laps.